What is the Greatest Common Factor of 82056 and 82069?

Greatest common factor (GCF) of 82056 and 82069 is 13.

GCF(82056,82069) = 13

We will now calculate the prime factors of 82056 and 82069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82056 and 82069.

How to find the GCF of 82056 and 82069?

We will first find the prime factorization of 82056 and 82069. After we will calculate the factors of 82056 and 82069 and find the biggest common factor number .

Step-1: Prime Factorization of 82056

Prime factors of 82056 are 2, 3, 13, 263. Prime factorization of 82056 in exponential form is:

82056 = 2³ × 3¹ × 13¹ × 263¹

Step-2: Prime Factorization of 82069

Prime factors of 82069 are 13, 59, 107. Prime factorization of 82069 in exponential form is:

82069 = 13¹ × 59¹ × 107¹

Step-3: Factors of 82056

List of positive integer factors of 82056 that divides 82056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 263, 312, 526, 789, 1052, 1578, 2104, 3156, 3419, 6312, 6838, 10257, 13676, 20514, 27352, 41028

Step-4: Factors of 82069

List of positive integer factors of 82069 that divides 82056 without a remainder.

1, 13, 59, 107, 767, 1391, 6313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82056 and 82069. The biggest common factor number is the GCF number.
So the greatest common factor 82056 and 82069 is 13.

Also check out the Least Common Multiple of 82056 and 82069